5 papers
Minimal intersection radius for growing, non-homogeneous ellipsoids in
Barbara Giunti, Sean Hill, Felix X. -F. Ye
In this paper, we compute the Minimal Intersection Radius (MIR) of growing, non-homogeneous ellipsoids in arbitrary ambient dimension. We provide a geometric method to find the MIR…
SuPerPoV: Score and evolution of the stratospheric polar vortex via persistent homology
Jake Cordes, Barbara Giunti, Zheng Wu
Classifying the stratospheric polar vortex provides predictability for surface weather on extended-range timescales. However, providing a scientifically sound classification is cha…
The persistence of painting styles
Reetikaa Reddy Munnangi, Barbara Giunti
Art is a deeply personal and expressive medium, where each artist brings their own style, technique, and cultural background into their work. Traditionally, identifying artistic st…
Decomposing the Persistent Homology Transform of Star-Shaped Objects
Shreya Arya, Barbara Giunti, Abigail Hickok +3
In this paper, we study the geometric decomposition of the degree- Persistent Homology Transform (PHT) as viewed as a persistence diagram bundle. We focus on star-shaped objects…
Topological Data Analysis in smart manufacturing: State of the art and futuredirections
Martin Uray, Barbara Giunti, Michael Kerber +1
Topological Data Analysis (TDA) is a discipline that applies algebraic topology techniques to analyze complex, multi-dimensional data. Although it is a relatively new field, TDA ha…